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Finding the Third Proportional to 148,961 and 322,936

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Solution

The third proportional to 148,961 and 322,936 is: 700,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,961 : 322,936 = 322,936 : x
  2. Step 2: Convert to fraction form
    148,961/322,936 = 322,936/x
  3. Step 3: Cross multiply
    148,961x = 322,936 × 322,936
  4. Step 4: Simplify right side
    148,961x = 104,287,660,096
  5. Step 5: Solve for x
    x = 104,287,660,096/148,961
  6. Step 6: Final answer
    x = 700,100.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.